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4 sin^4 x + 3sin^2 x  1 = 0
After I borrow the 4 I just don't know what to do afterwords..
 one year ago
 one year ago
4 sin^4 x + 3sin^2 x  1 = 0 After I borrow the 4 I just don't know what to do afterwords..
 one year ago
 one year ago

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Iamgmg90Best ResponseYou've already chosen the best response.1
let sin^2x = u, substitute and solve as a quadratic? i.e 4u^2 + 3u  1 = (4u  1)(u + 1 ) so u = 1/4 or 1, therefore sin^2(x) = 1/4 or 1, use calculator
 one year ago

Iamgmg90Best ResponseYou've already chosen the best response.1
sin^1(SQRT(1/4) = sin^1(1/2)
 one year ago

amelapalBest ResponseYou've already chosen the best response.0
Can the quadratic formula be used if its to the 4th degree because I got the same thing, however I used factoring with borrow and payback.
 one year ago

ByteMeBest ResponseYou've already chosen the best response.1
Yes... you can use the QF but I think factoring, as shown above is faster...
 one year ago

ByteMeBest ResponseYou've already chosen the best response.1
Also, \(\large sin^2x=\frac{1}{4} \) gives \(\large sinx=\pm \frac{1}{2} \) so you'll need to solve sinx=1/2, and also sinx=1/2
 one year ago

Iamgmg90Best ResponseYou've already chosen the best response.1
Oh, thanks. Yes square rooting yields both signs, as squaring makes positive (negative time negative). The 1 can be ignored as it would be a complex number
 one year ago

amelapalBest ResponseYou've already chosen the best response.0
So the angles would be 30 and 150, and 210 and 330?
 one year ago

amelapalBest ResponseYou've already chosen the best response.0
The other one would come up with i so is it okay to ignore it since it is complex?
 one year ago
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